4. Unit III: Calculus
• Continuity and Differentiability
• Applications of Derivatives
• Integrals
• Applications of the Integrals
• Differential Equations
5. Unit IV:
• Vectors and Three-Dimensional Geometry
• Vectors
• Three - dimensional Geometry
6. Unit V: Linear Programming
• Introduction, related terminology such as
constraints, objective function,
• optimization, different types of linear programming
(L.P.) problems, mathematical formulation of
L.P. problems, graphical method of solution for
problems in two variables,
• feasible and infeasible regions, feasible and
infeasible solutions, optimal feasible solutions (up
to three non-trivial constraints).
7. Unit VI: Probability
• Conditional probability, multiplication
theorem on probability. independent events,
total probability, Baye's theorem,
• Random variable and its probability
distribution, mean and variance of random
variable. Repeated independent (Bernoulli)
trials and Binomial distribution.